Material balance equation and its applicationspart1. Until well into the 1950s it was the only means of determining the production drive mechanism in oil and gas reservoirs, and of predicting their behaviour. Although it is a tank model equation, it can provide great insight for the practicing reservoir engineer. Derive the general material balance equation for gas and oil reservoirs. The material balance approach vs reservoir simulation as. The most important development in petroleum engineering during the last decade has been the extensive use of reservoir simulators for simulating complex problems which could not have been solved by conventional material balance methods.
The general material balance equation relates the original oil, gas, and water in the reservoir to production volumes and current pressure conditions. Material balance equation an overview sciencedirect topics. A good knowledge of average reservoir pressure is essential to determine original gasinplace. Identify the purpose of the modified black oil model in material balance equation. A general material balance equation that can be applied to all reservoir types was first developed by schilthuis in 1936. Advanced gas material balance in simplified format ihs markit. The straight line method of analysis imposes an additional necessary condition that a successful solution of the material balance equation should meet. Building on the solid reputation of the previous edition, this new volume presents critical concepts, such as fluid flow, rock properties. The material balance provides reservoir engineers a great deal of insight in knowing the initial hydrocarbon in place, how much hydrocarbon can be produced at. First, the zero dimensional material balance is derived and subsequently applied, using mainly the interpretative technique of havlena and odeh, to gain an. Reservoir engineering techniques for forecast, reserves estimation and reservoir behaviour prediction analogues decline curves analysis material balance reservoir simulation reservoir simulation background model purposes model contents vs. Material balance is maybe the most used tool by reservoir engineers during several decades.
Dynamic material balance study of gas reservoir using. This name has been chosen to contrast with the traditional material balance procedure, which relies on static reservoir pressure data. This marks the time when reservoir engineering emerged from within petroleum engineering as a recognised science in its own right. The calculation is most vulnerable to many of its underlying assumptions early in the depletion. About the function of material balance as an equation. In this and subsequent chapters we will introduce some reservoir engineering tools used in calculating reservoir behaviour. This new model improves sour gasengineering theory. Oil and gas reservoir material balance programs using the. Reservoir engineering handbook, fifth edition, equips engineers and students with the knowledge required to continue maximizing reservoir assets, especially as more reservoirs become complex, multilayered, and unconventional in their extraction methods. Material balance equation mbe is seen by the reservoir engineers as the basic tool for interpreting and predicting the performance of reservoirs.
Material balance is a fundamental petroleum reservoir engineering tool that can be used to provide an understanding of a reservoir and the influence of any connecting aquifer. Pe281 applied mathematics in reservoir engineering 1. Types of material balance problems first let us look at the types of material balance problems that arise in chemical engineering. According to this principle, the amount of material remaining in the reservoir after a production time interval is equal to the amount of material originally present in the reservoir minus the amount of material removed from the reservoir due to production plus the amount of material added to the reservoir due to injection. The general material balance equation was first introduced by schilthuis 1936. The material balance equation calculation is based on changes in reservoir conditions over discrete periods of time during the production history. The chapter describes that the material of which a petroleum reservoir rock may be composed can range from very loose and unconsolidated sand to a very hard and dense sandstone, limestone, or dolomite.
The graphical simplicity of this method makes it popular. The material balance equation used by reservoir engineers is arranged algebraically, resulting in an equation of a straight line. Material balance has long been used in reservoir engineering prac. The material balance is one of the fundamental practice in reservoir engineering and is considered as a reliable estimation of hydrocarbonsinplace. Oil and gas reservoir material balance programs using the microsoft excel spreadsheet. The material balance equation can be simplified, as all the terms for oil production, liquid expansion and rock expansion can be neglected.
The material balance as an equation of a straight line. Materialbalance equations provide a relationship between original fluids in place, cumulative fluid production, and average reservoir pressure. State the assumptions involved in applying the material balance equation. Department of petroleum engineering, heriotwatt university 3 15 15 material balance equation 1. The new, generalized material balance equation leads to an improved method of reservoir performance analysis. Material balance equation as a straight line normally, when using the material balance equation, each pressure and the corresponding production data is considered as being a separate point from other pressure values. Download free reservoir engineering craft hawkins solution manual radial flow. Material balance equations department of petroleum engineering and applied geophysics professor jon kleppe norwegian university of science and technology august 21, 2017 6 material balance equation for a closed gas reservoir the material balance equation for a closed gas reservoir is very simple. Material balance has long been used in reservoir engineering practice as a simple yet powerful tool to determine the original gas in place g. By rearranging the material balance equation so that the total withdrawals from the reservoir are grouped onto the y axis while all the expansion terms are grouped on the x axis, the correct oilinplace value will generate a straight line trend on the graph. The material balance approach to reservoir engineering is covered in detail and. The material balance equation was derived in order track the production of oil, gas and water.
Material balance techniques are used to estimate hydrocarbons in place ooip and ogip from measurements of fluid production and the resultant change in reservoir pressure caused by that production. The material balance equation mbe has long been recognized as one of the basic tools of reservoir engineers for interpreting and predicting reservoir performance. This may include pdfs of the final lecture notes, links to recorded lectures, and any other reference material. For many gas reservoirs, a simple materialbalance equation can be derived on the basis of the following assumptions. Flowing material balancefor gas wells flowing at a constant rate. The material balance equation mbe has long been recognized as one of the basic tools of reservoir engineers for interpreting and predicting reservoir. Chapter eight the material balance equation mbe the material balance equation mbe has long been recognized as one of the basic tools of reservoir engineers for interpreting and predicting reservoir performance. Withdrawal function of reservoir pressure oil material balance equations material balance historical perspectives abnormal pressure case the practice of reservoir engineering, elsevier 2001. Material balance equation for gas condensate reservoir. Material balance concept, fundamental flow lecture3. Pdf a new solution methodology to the material balance. Its main applications lead to the estimation of hydrocarbon in place, water influx and gas cap size. Material balance equation is known to be the classical mathematical representation of the reservoir.
Rafiqul islam, in unconventional gas reservoirs, 2015. The technique requires accurate estimates of fluid properties, production volumes, and reservoir pressure. Material balance calculations for petroleum reservoirs in 1936, schilthuis developed a general material balance equation that can be applied to all reservoir types. Material balance applied petroleum reservoir engineering. Fundamentals of reservoir engineering petroknowledge. Resengch15 15 material balance equation contents 1. Overview of reservoir simulation of unconventional reservoirs.
The book begins with an introduction to key terms and an introduction to the history of reservoir engineering. Tpg4150 reservoir recovery techniques 2017 material balance equations department of petroleum engineering and applied geophysics professor jon kleppe norwegian university of science and technology august 21, 2017 6 material balance equation for a closed gas reservoir the material balance equation for a closed gas reservoir is very simple. Material balance calculations for gas reservoirs for a singlephase gas reservoir, the mb equation takes the form. The material balance equation was first formulated by schilthuis 14 and introduced in 1936. Material balance archives applied petroleum reservoir. The material balance equation mbe is a versatile analytical tool in petroleum reservoir engineering.
These usually apply to batch processes the terms in a batch mater. Introduction the schilthuis material balance equation has long been regarded as one of the basic tools of reservoir engineers for interpreting and predicting reservoir performance. Calculate the volume of hydrocarbon in place and recovery factors derive the general material balance equation, modify it and use it to calculate hydrocarbon in place for gas reservoirs, saturated reservoirs and. Reservoir engineering craft hawkins solution manual. The material balance for volumetric gas condensate reservoir initializes with the mass or mole balance principle, i. In this paper, a new format of the gas material balance equation is presented. In this equation, the lefthand side represents the reservoir barrels removed from the reservoir through the production wells, while the righthand side represents the expansion of oil in. Solution to the mbe is put to a predictive use for predicting reservoir performance, i. Petroleum reservoir engineering, material balance equation calculations mbe by tom blasingame. Download brochure register now request an inhouse proposal. The value and the degree of sophistication of such simulators will increase in the years to come. Material balance analysis is an interpretation method used to determine original fluidsinplace ofip based on production and static pressure data. The terms in a differential material balance are expressed as rates.
Department of petroleum engineering and applied geophysics. Material balance calculations using the excel spreadsheet. Tarek ahmed, in reservoir engineering handbook fifth edition, 2019. Identify the data that is needed to apply the material balance equation and the uncertainties associated with collecting such data. The conventional format of the gas material balance equation is the simple straight line plot of pz vs. The material balance can be simplified depending on what type of reservoir we are interested in analyzing. From each separate point, a calculation is made and the results of these calculations are averaged. Since then, thousands of papers have been published on. To have such reservoir pressure, the well needs to be shutin for few days to months, resulting in loss of production. Participants will also learn about fluid and rock properties used in reservoir engineering applications and the fundamental concepts of fluid flow in porous media.
They are routinely used co estimate oil and gas reserves and predict. The equation mathematically defines the different producing mechanisms and effectively relates the reservoir fluid and rock expansion to the subsequent fluid withdrawal. Multiphase situations, types of oil and gas reservoirs, reservoir drive mechanisms, the basics of material balance and decline curve analysis, and reserve definitions will also be. Differential balances are applied to continuous processes. The materialbalance equation is the simplest expression of the conservation of mass in a reservoir. Well cover calculating gas in place using the material balance. Oil recovery mechanisms and the material balance equation jan 2000. Describe the principles behind material balance equation. Petroleum science and technology a material balance equation for. Most reservoir engineering calculations involve the use of the material balance equation mbe.
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